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Finding the Third Proportional to 1,260.98 and 1,902.87

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Solution

The third proportional to 1,260.98 and 1,902.87 is: 2,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.98 : 1,902.87 = 1,902.87 : x
  2. Step 2: Convert to fraction form
    1,260.98/1,902.87 = 1,902.87/x
  3. Step 3: Cross multiply
    1,260.98x = 1,902.87 × 1,902.87
  4. Step 4: Simplify right side
    1,260.98x = 3,620,903.53
  5. Step 5: Solve for x
    x = 3,620,903.53/1,260.98
  6. Step 6: Final answer
    x = 2,871.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.